Question

7) A beam of unpolarized spin 2 particles moving along the y-axis is incident on a SG device with magnetic field $\vec{B} = [B_0 + az]\hat{k}$, where $B_0$ is a strong uniform (homogeneous) field component, and constant $a$ describes a small deviation from homogeneity. i) How many separate beams will the unpolarized beam of spin 2 atoms be split into after the SG device? Why? ii) If SG device transmits only the uppermost beams, write down the spin state of the beam after the SG device. (No calculation is needed!)

          7)
A beam of unpolarized spin 2 particles moving along the y-axis is incident on a SG device with magnetic
field $\vec{B} = [B_0 + az]\hat{k}$, where $B_0$ is a strong uniform (homogeneous) field component, and constant $a$
describes a small deviation from homogeneity.
i) How many separate beams will the unpolarized beam of spin 2 atoms be split into after the SG device? Why?
ii) If SG device transmits only the uppermost beams, write down the spin state of the beam after the SG
device. (No calculation is needed!)

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7)
A beam of unpolarized spin 2 particles moving along the y-axis is incident on a SG device with magnetic
field B⃗ = [B0 + az]k̂, where B0 is a strong uniform (homogeneous) field component, and constant a
describes a small deviation from homogeneity.
i) How many separate beams will the unpolarized beam of spin 2 atoms be split into after the SG device? Why?
ii) If SG device transmits only the uppermost beams, write down the spin state of the beam after the SG
device. (No calculation is needed!)

Added by Jennifer S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Prabhu Ramji

Step 1

Since the particles are spin 2, they can have spin projections of -2, -1, 0, 1, or 2 along the z-axis. In an unpolarized beam, each of these spin states is equally likely, so we can represent the beam as a superposition of these spin states. Now, let's consider Show more…

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A beam of unpolarized spin 2 particles moving along the y-axis is incident on a SG device with magnetic field B = [B + az]k, where B is a strong uniform (homogeneous) field component, and constant describes a small deviation from homogeneity. i) How many separate beams will the unpolarized beam of spin 2 atoms be split into after the SG device? Why? If the SG device transmits only the uppermost beams, write down the spin state of the beam after the SG device. (No calculation is needed!)

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